JEE Main 18 March 2021, Shift 2, Maths Q84

Question 84 of 90 in this shift, Maths question 24 of 30, Section B.

\sum_{r=1}^{10} r!\,(r^3+6r^2+2r+5)=\alpha\,(11!)

, then the value of

\alpha

is equal to ___________.

Official answer

160

NTA final key.

Chapter: Permutations and Combinations
Topic: No close match in our taxonomy
Idea tested: No close match in our taxonomy

Question text from the official JEE Main paper published by NTA; answer from the final answer key. Chapter, topic and idea tags, difficulty and skill are Lumi’s. Lumi analyses 108 of the 174 JEE Main shifts held from 2017 to 2026.